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What is the Least Common Multiple of 79179 and 79183?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 79179 and 79183 is 6269630757.

LCM(79179,79183) = 6269630757

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Least Common Multiple of 79179 and 79183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79179 and 79183, than apply into the LCM equation.

GCF(79179,79183) = 1
LCM(79179,79183) = ( 79179 × 79183) / 1
LCM(79179,79183) = 6269630757 / 1
LCM(79179,79183) = 6269630757

Least Common Multiple (LCM) of 79179 and 79183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79179 and 79183. First we will calculate the prime factors of 79179 and 79183.

Prime Factorization of 79179

Prime factors of 79179 are 3, 26393. Prime factorization of 79179 in exponential form is:

79179 = 31 × 263931

Prime Factorization of 79183

Prime factors of 79183 are 13, 6091. Prime factorization of 79183 in exponential form is:

79183 = 131 × 60911

Now multiplying the highest exponent prime factors to calculate the LCM of 79179 and 79183.

LCM(79179,79183) = 31 × 263931 × 131 × 60911
LCM(79179,79183) = 6269630757